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Questions tagged [visual-proof]

The tag has no usage guidance.

4
votes
3answers
699 views

A formula for the area of a rectangle [closed]

This is a question about elementary geometry, so I think it belongs on this site. Let $d$ be the length of a diagonal in a rectangle, and let $m$ be half the perimeter. Then a formula for the area ...
10
votes
2answers
203 views

Styles of visualization in geometry

Some people talk about visual thinkers and non-visual thinkers, but I am interested in a contrast within styles of visual thinking. There are people who readily visualize complicated flow charts and ...
6
votes
1answer
145 views

The role of visualization and intuition in graduate and postgraduate math and developing it

[I am not an mathematics educator; but because the process of learning is educating yourself, I'm posting it here] In Visual Complex Analysis's preface, the author gives an analogy with pseudo-deaf ...
26
votes
17answers
13k views

Given a 3 4 5 triangle, how do you know that it is a right triangle?

Without knowing the Pythagorean theorem, and in presenting reasons why the theorem might be true (without giving a full proof), is there any way to give examples of triangles that are intuitively ...
7
votes
5answers
182 views

About visual ways of teaching Math

There is a concept called 'Infographics' that uses lots of colourful diagrams and graphs and artwork to visually depict some set of concepts and tries to explain the ideas through pictures. I ...
7
votes
3answers
346 views

Visual representation of Cartesian Product of groups

I'm today trying to construct a lesson on theory and problems of group theory. A specification of this lesson would be to use as much visual representations as possible. I have found some trivial ways ...
5
votes
1answer
152 views

Solidifying Bubble Surfaces

Dip a wire frame into a bubble mix and you have a bubble forming a minimal surface spanning the wire frame. These bubble surfaces have been used to demonstrate math and physics concepts like ...
15
votes
1answer
621 views

The Fundamental Theorem of Calculus and Vegetables

When I was an undergraduate, someone presented to me a proof of the Fundamental Theorem of Calculus using entirely vegetables. I found this incredibly fun at the time, but I can't remember who ...
13
votes
6answers
3k views

Visual Pythagorean demonstration

I know there is some visual demonstration of a² + b² = c² with smalĺ piece of paper, but there is a lot of variations. Which visual or drawing demonstration of the ...